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Finding the Fourth Proportional to 27,410.26, 37,826.14 and 16,232.26

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Solution

The fourth proportional to 27,410.26, 37,826.14 and 16,232.26 is: 22,400.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,410.26 : 37,826.14 = 16,232.26 : x
  2. Step 2: Convert to fraction form
    27,410.26/37,826.14 = 16,232.26/x
  3. Step 3: Cross multiply
    27,410.26x = 37,826.14 × 16,232.26
  4. Step 4: Simplify right side
    27,410.26x = 614,003,739.28
  5. Step 5: Solve for x
    x = 614,003,739.28/27,410.26
  6. Step 6: Final answer
    x = 22,400.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.